Ex 8.2, 2 (i) - Chapter 8 Class 10 Introduction to Trignometry (Term 1)

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Ex 8.2, 2 Choose the correct option and justify your choice : (i) "2 tan 30 " /"1 + tan2 30 " = sin 60 (B) cos 60 (C) tan 60 (D) sin 30 We know that , tan "30 " = 1/ 3 So, (2 tan 30 )/(1+ 2 30 ) = (2 (1/ 3))/(1 + (1/ 3)^2 ) = (2/ 3)/(1 + 1/3) = (2/ 3)/(4/3) = 2/ 3 3/4 = 2/ 3 ( 3 3)/4 = 3/2 Options are (A) sin 60 (B) cos 60 (C) tan 60 (D) sin 30 Since sin "60 " = 3/2 Hence, option (A) is correct